## A problem related to solution of triangles

**Problem.**

In a triangle ABC, is twice . Show that . (In fact, the converse is also true. Prove it!).

**Proof.**

**Method I. **

You can use plane geometry also. This is left to you as an exercise.

**Method II.**

You can use trigonometry also. We may use the sine rule for a triangle to dispose of both the implications simultaneously.

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## One Comment

Reblogged this on Mathematics Hothouse and commented:

A cute problem in Trigonometry or pure plane geometry